The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  2  2 2a 2a^2  0 2a^2 2a^2+2a  2 2a
 0  0  2  0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2 2a^2+2 2a+2 2a+2 2a
 0  0  0  2  2 2a^2+2a 2a^2+2a  2  2 2a^2+2a  0 2a^2+2 2a+2

generates a code of length 13 over GR(64,4) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+322x^72+714x^80+840x^88+28672x^91+1533x^96+686x^104

The gray image is a code over GF(8) with n=104, k=5 and d=72.
This code was found by Heurico 1.16 in 0.116 seconds.